Chain sequences and symmetric generalized orthogonal polynomials

• Autor(a) principal: Bracciali, Cleonice Fátima [UNESP]
• Data de Publicação: 2002
• Outros Autores: Dimitrov, D. K., Ranga, A. S.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1016/S0377-0427(01)00499-X; http://hdl.handle.net/11449/36969
• topic: Orthogonal polynomials; chain sequences; continued fractions

in this paper, we derive an explicit expression for the parameter sequences of a chain sequence in terms of the corresponding orthogonal polynomials and their associated polynomials. We use this to study the orthogonal polynomials K-n((lambda.,M,k)) associated with the probability measure dphi(lambda,M,k;x), which is the Gegenbauer measure of parameter lambda + 1 with two additional mass points at +/-k. When k = 1 we obtain information on the polynomials K-n((lambda.,M)) which are the symmetric Koornwinder polynomials. Monotonicity properties of the zeros of K-n((lambda,M,k)) in relation to M and k are also given. (C) 2002 Elsevier B.V. B.V. All rights reserved.